轴对称时空中束缚轨道运动的观测量
Observables for bound orbital motion in axially symmetric space-times
摘要：
本文分析了Plebaublski和Demiaublski给出的一般轴对称时空中束缚轨道运动的近星点位移和Lense-Thirring效应。我们还定义了一个措施的轨道的锥度，并给出解析表达式的所有三个观测超椭圆积分和Lauricella的$F_D$功能。对于这些解析表达式的解释，我们执行后史瓦西和后牛顿展开这些量。这清楚地表明了不同的时空参数对所考虑的可观测量的影响，并允许表征克尔，陶布-NUT，施瓦茨希尔德-德西特或其他时空。
英文摘要：
The periastron shift and the Lense-Thirring effect of bound orbital motion in a general axially symmetric space-time given by Plebański and Demiański are analyzed. We also define a measure for the conicity of the orbit and give analytic expressions for all three observables in terms of hyperelliptic integrals and Lauricella's $F_D$ function. For an interpretation of these analytical expressions, we perform a post-Schwarzschild and a post-Newton expansion of these quantities. This clearly shows the influence of the different space-time parameters on the considered observables and allows to characterize Kerr, Taub-NUT, Schwarzschild-de Sitter, or other space-times.
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